Home
Class 12
MATHS
(3+2 i sin theta)/(1-2 i sin theta) will...

`(3+2 i sin theta)/(1-2 i sin theta)` will be purely imaginary, if `theta` is equal to

A

pi/4

B

(pi)/(3)`

C

(pi)/(2)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMMON ENTRANCE TEST -2016

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

  • COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|297 Videos

Similar Questions

Explore conceptually related problems

If the complex number (1-i sin theta)/(1+2 i sin theta) is purely imaginary, then the principal value of theta is

(sin theta+i cos theta)^(9) =

sqrt((1 + sin theta)/(1 - sin theta)) is equal to ______

(sin 2 theta)/(1-cos 2 theta)=cot theta

Find real theta such that (3 + 2i sin theta)/(1-2i sin theta) is purely real.

If tan((pi)/(2) sin theta )= cot((pi)/(2) cos theta ) , then sin theta + cos theta is equal to

(1+cos 2 theta)/(sin 2 theta)=cot theta

If sin theta+cos theta=1 then the value of sin 2 theta is equal to

sqrt((1+Sin theta)/(1-Sin theta)) is equal to ______

HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. The real value of thetafor which the expression is (1+icos theta)/(1...

    Text Solution

    |

  2. Let z=x+ iy then z . bar(z)=0 if and only if

    Text Solution

    |

  3. (3+2 i sin theta)/(1-2 i sin theta) will be purely imaginary, if theta...

    Text Solution

    |

  4. If the cube root of unity are 1,omega,omega^(2), then the roots of the...

    Text Solution

    |

  5. If z is a complex number such that z=-bar(z) then

    Text Solution

    |

  6. The complex number (1+2i)/(1-i) lies in

    Text Solution

    |

  7. If P is the point in the Argand diagrma correspoinding to the complex ...

    Text Solution

    |

  8. The smallest positive integral value of ' n ' such that [(1+sin (pi)...

    Text Solution

    |

  9. The least positive integer n, for which ((1+i)^(n))/((1-i)^(n-2))is po...

    Text Solution

    |

  10. If x+i y=(-1+i sqrt(3))^(2010), then x=

    Text Solution

    |

  11. The value of |(1+i sqrt(3))/((1+(1)/(i+1))^(2))|=

    Text Solution

    |

  12. If omega is an imaginary cube root of unity ,then the value of (1-omeg...

    Text Solution

    |

  13. If P(x, y) denotes z=x+i y in Argand's plane and |(z-1)/(z+2 i)|=1, t...

    Text Solution

    |

  14. The argument of the complex number sin((6pi)/(5))+i(1+cos.(6pi)/(5)) i...

    Text Solution

    |

  15. The maximum value of n lt 101 such that 1+sum(k=1)^(n)i^(k)=0 is

    Text Solution

    |

  16. The value of (-1+sqrt(3))^(62)+(-1-sqrt(-3))^(62) is

    Text Solution

    |

  17. All complex number z which satisfy the equation |(z-6 i)/(z+6 i)|=1 li...

    Text Solution

    |

  18. If z is a complex number with |z|=1 and z+(1)/(z)=x+iy, then xy=

    Text Solution

    |

  19. The real part of log log i is

    Text Solution

    |

  20. ((-1+i sqrt(3))/(2))^(50)+((-1-i sqrt(3))/(2))^(50)=

    Text Solution

    |